Switch Game——初级
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简单 (*1000) 数学
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题目描述
There are many lamps in a line. All of them are off at first. A series of operations are carried out on these lamps. On the $i$-th operation, the lamps whose numbers are the multiple of $i$ change the condition ( on to off and off to on ).
You should output whether the $n$-th light is on or off after infinity operations.
输入格式
**Multiple test cases, please process to the End Of File.**
Each test case occupies one line, contains a single integer $n\ (1\le n\le 10^5)$.
输出格式
For each test case, output a integer, represents the confition of the $n$-th lamp after infinity operations (`0` - off, `1` - on).
样例输入 #1
1 5
样例输出 #1
1 0
提示
Consider the second test case:
The initial condition : 0 0 0 0 0 ...\
After the first operation : 1 1 1 1 1 ...\
After the second operation : 1 0 1 0 1 ...\
After the third operation : 1 0 0 0 1 ...\
After the fourth operation : 1 0 0 1 1 ...\
After the fifth operation : 1 0 0 1 0 ...
The later operations cannot change the condition of the fifth lamp any more. So the answer is $0$.
来源
校庆杯Warm Up